About Optics & Photonics TopicsOSA Publishing developed the Optics and Photonics Topics to help organize its diverse content more accurately by topic area. This topic browser contains over 2400 terms and is organized in a three-level hierarchy. Read more.

Topics can be refined further in the search results. The Topic facet will reveal the high-level topics associated with the articles returned in the search results.

Abstract

We present a study of the formation of a hot image in an intense laser beam through a slab of Kerr medium with gain and loss, beyond the thin-medium approximation, to especially disclose the dependence of the hot image on the size of obscuration. Based on the angular spectrum description of light propagation and the mean-field approximation we obtain the expression for intensity of the hot image, which clearly shows the dependence of intensity of the hot image on the size of obscuration. It is shown that, as the size of obscuration increases, the intensity of the corresponding hot image first increases gradually, after reaching a maximum value, it decreases rapidly to a minimum value, meaning that there exists an optimum size of obscuration, which leads to the most intense hot image. Further analysis demonstrates that the optimum size of obscuration is approximately determined by the effective fastest growing spatial frequency for a given case. For the output light beam of a given intensity, with the gain coefficient of the Kerr medium slab increasing, or the loss coefficient decreasing, the optimum size of obscuration becomes bigger, while the hot image from the obscuration of a given size becomes weaker, suggesting that high gain and low loss can efficiently suppress the hot image from obscurations. The theoretical predictions are confirmed by numerical simulations.

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Table 1

Comparison of the Size of the Obscuration Corresponding to the Hot Image of Maximum Intensity amax⁡ with Inverse the Effective Fastest Growing Spatial Frequency π/q¯max, the Intensity of the Input Light Beam is 1GW/cm2, the Thickness of the Nonlinear Medium d is 25cm

Type of Obscuration Gain and Loss

Amplitude Modulation

Phase Modulation

amax⁡(mm)

π/q¯max(mm)

amax⁡(mm)

π/q¯max(mm)

Analytical Results

Simulative Results

Analytical Results

Simulative Results

0.02/cm

0.49

0.52

0.51

0.49

0.56

0.51

0.04/cm

0.47

0.50

0.44

0.47

0.56

0.44

0.06/cm

0.44

0.49

0.38

0.44

0.53

0.38

0.08/cm

0.40

0.45

0.33

0.40

0.49

0.33

Table 2

Comparison of the Size of the Obscuration Corresponding to the Hot Image of Maximum Intensity amax⁡ with Inverse the Effective Fastest Growing Spatial Frequency π/q¯max, the Intensity of the Input Light Beam is 1GW/cm2 the Gain and Loss Coefficients of the Kerr Medium Slab Satisfying β–α=0.04/cm

Type of Obscuration Thickness of Medium (cm)

Amplitude Modulation

Phase Modulation

amax⁡(mm)

π/q¯max(mm)

amax⁡(mm)

π/q¯max(mm)

Analytical Results

Simulative Results

Analytical Results

Simulative Results

20

0.49

0.50

0.47

0.51

0.52

0.47

25

0.49

0.50

0.44

0.50

0.51

0.44

30

0.48

0.49

0.42

0.49

0.50

0.42

35

0.48

0.49

0.39

0.48

0.48

0.39

Table 3

Comparison of the Size of the Obscuration Corresponding to the Hot Image of Maximum Intensity with Inverse the Effective Fastest Growing Spatial Frequency π/q¯max, the Intensity of the Output Light Beam is 3GW/cm2, the Thickness of the Nonlinear Medium d is 25cm

Type of Obscuration Gain and Loss

Amplitude Modulation

Phase Modulation

amax⁡(mm)

π/q¯max(mm)

amax⁡(mm)

π/q¯max(mm)

Analytical Results

Simulative Results

Analytical Results

Simulative Results

0.02/cm

0.43

0.42

0.38

0.43

0.42

0.38

0.04/cm

0.46

0.42

0.42

0.46

0.42

0.42

0.06/cm

0.48

0.43

0.47

0.48

0.43

0.47

0.08/cm

0.49

0.43

0.51

0.49

0.43

0.51

Table 4

Comparison of the Size of the Obscuration Corresponding to the Hot Image of Maximum Intensity with Inverse the Effective Fastest Growing Spatial Frequency π/q¯max, the Intensity of the Output Light Beam is 3GW/cm2, the Gain and Loss Coefficient of the Kerr Medium Slab Satisfying β–α=0.04/cm

Type of Obscuration Thickness of Nonlinear Medium (cm)

Amplitude Modulation

Phase Modulation

amax(mm)

π/q¯max(mm)

amax(mm)

π/q¯max(mm)

Analytical Results

Simulative Results

Analytical Results

Simulative Results

20

0.42

0.38

0.40

0.42

0.36

0.40

25

0.46

0.43

0.42

0.46

0.42

0.42

30

0.49

0.48

0.44

0.49

0.47

0.44

35

0.52

0.5

0.46

0.52

0.49

0.46

Tables (4)

Table 1

Comparison of the Size of the Obscuration Corresponding to the Hot Image of Maximum Intensity amax⁡ with Inverse the Effective Fastest Growing Spatial Frequency π/q¯max, the Intensity of the Input Light Beam is 1GW/cm2, the Thickness of the Nonlinear Medium d is 25cm

Type of Obscuration Gain and Loss

Amplitude Modulation

Phase Modulation

amax⁡(mm)

π/q¯max(mm)

amax⁡(mm)

π/q¯max(mm)

Analytical Results

Simulative Results

Analytical Results

Simulative Results

0.02/cm

0.49

0.52

0.51

0.49

0.56

0.51

0.04/cm

0.47

0.50

0.44

0.47

0.56

0.44

0.06/cm

0.44

0.49

0.38

0.44

0.53

0.38

0.08/cm

0.40

0.45

0.33

0.40

0.49

0.33

Table 2

Comparison of the Size of the Obscuration Corresponding to the Hot Image of Maximum Intensity amax⁡ with Inverse the Effective Fastest Growing Spatial Frequency π/q¯max, the Intensity of the Input Light Beam is 1GW/cm2 the Gain and Loss Coefficients of the Kerr Medium Slab Satisfying β–α=0.04/cm

Type of Obscuration Thickness of Medium (cm)

Amplitude Modulation

Phase Modulation

amax⁡(mm)

π/q¯max(mm)

amax⁡(mm)

π/q¯max(mm)

Analytical Results

Simulative Results

Analytical Results

Simulative Results

20

0.49

0.50

0.47

0.51

0.52

0.47

25

0.49

0.50

0.44

0.50

0.51

0.44

30

0.48

0.49

0.42

0.49

0.50

0.42

35

0.48

0.49

0.39

0.48

0.48

0.39

Table 3

Comparison of the Size of the Obscuration Corresponding to the Hot Image of Maximum Intensity with Inverse the Effective Fastest Growing Spatial Frequency π/q¯max, the Intensity of the Output Light Beam is 3GW/cm2, the Thickness of the Nonlinear Medium d is 25cm

Type of Obscuration Gain and Loss

Amplitude Modulation

Phase Modulation

amax⁡(mm)

π/q¯max(mm)

amax⁡(mm)

π/q¯max(mm)

Analytical Results

Simulative Results

Analytical Results

Simulative Results

0.02/cm

0.43

0.42

0.38

0.43

0.42

0.38

0.04/cm

0.46

0.42

0.42

0.46

0.42

0.42

0.06/cm

0.48

0.43

0.47

0.48

0.43

0.47

0.08/cm

0.49

0.43

0.51

0.49

0.43

0.51

Table 4

Comparison of the Size of the Obscuration Corresponding to the Hot Image of Maximum Intensity with Inverse the Effective Fastest Growing Spatial Frequency π/q¯max, the Intensity of the Output Light Beam is 3GW/cm2, the Gain and Loss Coefficient of the Kerr Medium Slab Satisfying β–α=0.04/cm